Question

[The volume of a circular cylinder of height h and radius r is given by V = pir^2h.] Set up a one variable function to minimize the amount of material used 3 to make a circular cylindrical juice can with the volume V = 100 in^3 . (Do not solve for the dimensions.) [The volume of a circular cylinder of height h and radius r is given by V = pir^2h.] An oil storage tank in the form of a circular cylinder has a height of 5 m. The radius is measured to be 8 m with a possible error of 0.25 m. Use differentials to estimate the maximum error in the volume. Find the approximate relative and percentage error.

Answer 1

Q1: S(r)= 200/r

Q2: a: dv= 20pie

B: relative error: dv/v =1/16

%error= 6.25%

Explanation:

Attached is the complete solution.